Stability and event-triggered control of stochastic nonlinear delay systems

地   点：  腾讯会议 APP()

报告人：  朱全新

单   位：  湖南师范大学

邀请人：  张登

备   注：  腾讯会议：987-207-720，会议密码：123456。 报告人简介：朱全新，湖南师范大学潇湘学者特聘教授, 博士生导师, 湖南省科技创新领军人才、湖南省芙蓉学者特聘教授、德国洪堡基金高访学者，计算与随机数学教育部重点实验室副主任，复杂系统的控制与优化湖南省高校重点实验室主任，IEEE高级会员。主要从事马氏过程、随机系统的稳定与控制理论及应用研究工作, 取得了系列重要进展, 在控制领域国际顶级杂志Automatica、IEEE Transactions on Automatic Control等刊物发表SCI收录论文200余篇,论文被SCI他引5000余次。获湖南省自然科学奖一等奖（第一完成人）、江苏省高校自然科学奖一等奖（第一完成人）、2021年全球顶尖前10万科学家榜单、2020年前2%顶尖科学家榜单、2018～2021连续四年全球高被引学者、2014～2021连续八年爱思唯尔中国高被引学者榜单等。主持国家自然科学基金项目5项，省部级项目9 项，作为第二参与人承担国家自然科学基金重点项目1项。担任中国工程概率统计学会第九届常务理事、中国工业与应用数学学会系统与控制数学专业委员会委员、中国自动化学会自适应动态规划与强化学习专业委员会委员、Applicable Analysis等5个国际SCI刊物的副主编或编委。

报告摘要：  

In this report, we study the stabilization problem of stochastic nonlinear delay systems with exogenous disturbances and the event-triggered feedback control. By introducing the notation of input-to-state practical stability and an event-triggered strategy, we establish the inputto-state practically exponential mean-square stability of the suggested system. Moreover, we investigate the stabilization result by designing the feedback gain matrix and the eventtriggered feedback controller, which is expressed in terms of linear matrix inequalities . Also, the lower bounds of inter-execution times by the proposed event-triggered control method are obtained. Finally, an example is given to show the effectiveness of the proposed method. Compared with large number of results for discrete-time stochastic systems, only a few results have appeared on the event-triggered control for continuous-time stochastic systems. In particular, there has been no published papers on the event-triggered control for continuous-time stochastic delay systems. Our work is a first try to fill the gap on the topic.